Answer:
Volume = 42.8 cubic centimeters
Step-by-step explanation:
The volume of right circular cone is:
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Where
r is the radius
h is the height
We are given height of 9.1 cm
h = 9.1
We aren't given radius explicitly, we are given circumference of 13.3, so we need to figure out radius from that. Lets do this:
[tex]C=2\pi r\\13.3=2\pi r\\r=\frac{13.3}{2\pi}\\r=2.12[/tex]
So,
r = 2.12
Now, substituting in cone formula, we get the volume to be:
[tex]V=\frac{1}{3}\pi r^2 h\\V=\frac{1}{3}\pi (2.12)^2 (9.1)\\V=42.83[/tex]
Rounded to nearest 10th is 1 decimal place, so
Volume = 42.8 cubic centimeters
